Preference Modelling

  • Marc Roubens
  • Philippe Vincke

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 250)

Table of contents

  1. Front Matter
    Pages N2-VIII
  2. Marc Roubens, Philippe Vincke
    Pages 6-10
  3. Marc Roubens, Philippe Vincke
    Pages 11-53
  4. Marc Roubens, Philippe Vincke
    Pages 54-64
  5. Marc Roubens, Philippe Vincke
    Pages 65-86
  6. Marc Roubens, Philippe Vincke
    Pages 87-92
  7. Back Matter
    Pages 93-96

About this book


The following scheme summarizes the different families introduced in this chapter and the connections between them. Family of interval orders f Row-homogeneous Column-homogeneous Family of family of interval semi orders family of interval orders orders Homogeneous family of i nterva 1 orders Homogeneous family of semi orders Family of weak orders 85 5.13. EXAMPLES We let to the reader the verification of the following assertions. Example 1 is a family of interval orders which is neither row-homogeneous nor column-homogeneous. Example 2 is a column-homogeneous family of interval orders which is not row-homogeneous but where each interval order is a semiorder. Example 3 is an homogeneous family of interval orders which are not semiorders. Example 4 is an homogeneous family of semi orders . . 8 ~ __ --,b ~---i>---_ C a .2 d c Example Example 2 .8 .6 c .5 a 0 a d Example 3 Example 4 5.14. REFERENCES DOIGNON. J.-P •• Generalizations of interval orders. in E. Degreef and J. Van Buggenhaut (eds). T~ndS in MathematiaaZ PsyahoZogy. Elsevier Science Publishers B.V. (North-Holland), Amsterdam, 1984. FISHBURN. P.C., Intransitive indifference with unequal indifference intervals. J. Math. Psyaho.~ 7 (1970) 144-149. FISHBURN. P.C., Binary choice probabilities: on the varieties of stochastic transitivity. J. Math. Psyaho.~ 10 (1973) 327-352.


Modelling modeling value-at-risk

Authors and affiliations

  • Marc Roubens
    • 1
  • Philippe Vincke
    • 2
  1. 1.State University of MonsMonsBelgium
  2. 2.Free University of BrusselsBrusselsBelgium

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1985
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-15685-7
  • Online ISBN 978-3-642-46550-5
  • Series Print ISSN 0075-8442
  • Buy this book on publisher's site
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